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Finding the Fourth Proportional to 7,758.42, 10,706.70 and 4,221.62

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Solution

The fourth proportional to 7,758.42, 10,706.70 and 4,221.62 is: 5,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.42 : 10,706.70 = 4,221.62 : x
  2. Step 2: Convert to fraction form
    7,758.42/10,706.70 = 4,221.62/x
  3. Step 3: Cross multiply
    7,758.42x = 10,706.70 × 4,221.62
  4. Step 4: Simplify right side
    7,758.42x = 45,199,618.85
  5. Step 5: Solve for x
    x = 45,199,618.85/7,758.42
  6. Step 6: Final answer
    x = 5,825.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.